Personalized mastery learning platforms, systems, media, and methods

ABSTRACT

Disclosed herein are systems, media, methods, and platforms for providing personalized mastery learning utilizing: a knowledge map; a plurality of learning activities, each learning activity comprising dynamically variable scaffolding, feedback, and content; a learning activity selection module selecting one or more learning activities for the learner; and a learning activity modification module dynamically varying one or more of the scaffolding, feedback, and content of at least one selected learning activity based on performance of the learner.

COPYRIGHT STATEMENT

A portion of the disclosure of this patent document contains material that is subject to copyright protection. The copyright owner has no objection to the facsimile reproduction by anyone of the patent document or the patent disclosure as it appears in the Patent and Trademark Office patent file or records, but otherwise reserves all copyright rights whatsoever.

BACKGROUND OF THE INVENTION

Adaptive learning is an educational method using computers to adapt the presentation of educational material according to individuals' learning needs, as indicated by their responses to questions, tasks, and experiences.

SUMMARY OF THE INVENTION

Despite the potential for online/mobile learning (e.g., e-learning) systems to utilize computing power to deliver effective adaptive learning, existing e-learning technologies do not adequately provide true mastery learning. By way of example, current systems do not base learning on a thoughtfully planned map of learning objectives for each subject at each level of learning that acknowledges the hierarchical and prerequisite relationships between objectives. By way of further example, current systems fail to include adequate or effective checks for learner understanding before allowing a learner to advance from one prerequisite concept to another to progress along a map of objectives. By only testing for surface results, the state of the art fails to discover and address deficiencies that may exist in a learner's more fundamental skill set that must come into play for each top-level learning objective. By way of still further example, current systems fail to provide learning activities that adequately adapt, in a dynamic way, to a learner's level of mastery. Specifically, learning activities that are not only selected based on a learners level of mastery, but also evolve in terms of scaffolding, feedback, and content to address each learner's immediate needs.

Advantages offered by personalized learning mastery systems described herein include, for example, a foundational knowledge map describing each subject or topic at each level of learning, which represents learning objectives arranged hierarchically and so as to represent prerequisite relationships between learning objectives and associates one or more of the objectives with one or more interactive online or mobile learning activities (e.g., e-learning). Further advantages of the subject matter described herein include, inter alia, a plurality of learning activities, wherein activities are selected for each learner based on their individual level of mastery and their progression through each knowledge map. Importantly, as described herein, each learning activity includes dynamically variable scaffolding, feedback, and/or content that is configured to adapt to each learner's level of mastery as indicated by the learner's performance and, optionally, the preference of the learner.

In one aspect, disclosed herein are computer-implemented systems comprising: a digital processing device comprising: at least one processor, an operating system configured to perform executable instructions, a memory, and a computer program including instructions executable by the digital processing device to create a personalized mastery learning application comprising: a knowledge map describing a subject or topic at a level of learning or proficiency, the knowledge map comprising a plurality of nodes, each node representing at least one learning objective, wherein the nodes are arranged in the knowledge map hierarchically and so as to represent prerequisite relationships between learning objectives; a plurality of learning activities, each learning activity comprising dynamically variable scaffolding, feedback, and/or content; a data storage associating one or more of the nodes with one or more of the learning activities; a learning activity selection module identifying at least one current node on the map for a particular learner based on performance of the learner and using the at least one current node and the data storage to select one or more learning activities for the learner; and a learning activity modification module dynamically varying one or more of the scaffolding, feedback, and content of at least one selected learning activity based on performance of the learner. In some embodiments, the application comprises a plurality of knowledge maps. In some embodiments, the data storage is a prerequisite map. In further embodiments, each node of the knowledge map is associated in the prerequisite map with one or more learning activities. In some embodiments, each learning activity comprises interactive instructions. In some embodiments, the subject or topic is math, reading, science, social studies, art, music, language arts, foreign language, or a combination thereof. In some embodiments, the level of learning is pre-K. In other embodiments, the level of learning is a K-12 grade level. In some embodiments, the level of learning is a proficiency level, a fluency level, a competency level, a mastery level, or a combination thereof. In some embodiments, the learning activity selection module identifies the at least one current node as the node immediately subsequent to the highest node in a portion of the hierarchy for which the learner has demonstrated mastery. In some embodiments, the learning activity selection module identifies the at least one current node after completion of each learning activity. In other embodiments, the learning activity selection module identifies the at least one current node after each learner interaction with a learning activity. In yet other embodiments, the learning activity selection module continuously identifies the at least one current node. In some embodiments, each learning activity comprises a content type and wherein the learning activity selection module selects a content type for the learner. In further embodiments, the content type is directed to a learning objective associated with a concept, a principle, a skill, or data. In some embodiments, the learning activity selection module selects a plurality of learning activities for the learner and presents a choice of learning activities to the learner. In some embodiments, the learning activity modification module varies the one or more selected learning activities after each learner interaction with a learning activity. In other embodiments, the learning activity modification module continuously varies the one or more selected learning activities. In some embodiments, the application further comprises an offline mode, wherein in the offline mode performance data for the learner is cached and the learning activity selection module and the learning activity modification module access the cached performance data. In some embodiments, the learning activity selection module and the learning activity modification module access the performance data for the learner occasionally, when a network connection is available, or once, upon installation of the application, to enable an offline mode.

In another aspect, disclosed herein are non-transitory computer-readable storage media encoded with a computer program including instructions executable by a processor to create a personalized mastery learning application comprising: a knowledge map describing a subject or topic at a level of learning or proficiency, the knowledge map comprising a plurality of nodes, each node representing at least one learning objective, wherein the nodes are arranged in the knowledge map hierarchically and so as to represent prerequisite relationships between learning objectives; a plurality of learning activities, each learning activity comprising dynamically variable scaffolding, feedback, and/or content; a data storage associating one or more of the nodes with one or more of the learning activities; a learning activity selection module identifying at least one current node on the map for a particular learner based on performance of the learner and using the at least one current node and the data storage to select one or more learning activities for the learner; and a learning activity modification module dynamically varying one or more of the scaffolding, feedback, and content of at least one selected learning activity based on performance of the learner. In some embodiments, the application comprises a plurality of knowledge maps. In some embodiments, the data storage is a prerequisite map. In further embodiments, each node of the knowledge map is associated in the prerequisite map with one or more learning activities. In some embodiments, each learning activity comprises interactive instructions. In some embodiments, the subject or topic is math, reading, science, social studies, art, music, language arts, foreign language, or a combination thereof. In some embodiments, the level of learning is pre-K. In other embodiments, the level of learning is a K-12 grade level. In some embodiments, the level of learning is a proficiency level, a fluency level, a competency level, a mastery level, or a combination thereof. In some embodiments, the learning activity selection module identifies the at least one current node as the node immediately subsequent to the highest node in a portion of the hierarchy for which the learner has demonstrated mastery. In some embodiments, the learning activity selection module identifies the at least one current node after completion of each learning activity. In other embodiments, the learning activity selection module identifies the at least one current node after each learner interaction with a learning activity. In yet other embodiments, the learning activity selection module continuously identifies the at least one current node. In some embodiments, each learning activity comprises a content type and wherein the learning activity selection module selects a content type for the learner. In further embodiments, the content type is directed to a learning objective associated with a concept, a principle, a skill, or data. In some embodiments, the learning activity selection module selects a plurality of learning activities for the learner and presents a choice of learning activities to the learner. In some embodiments, the learning activity modification module varies the one or more selected learning activities after each learner interaction with a learning activity. In other embodiments, the learning activity modification module continuously varies the one or more selected learning activities. In some embodiments, the application further comprises an offline mode, wherein in the offline mode performance data for the learner is cached and the learning activity selection module and the learning activity modification module access the cached performance data. In some embodiments, the learning activity selection module and the learning activity modification module access the performance data for the learner occasionally, when a network connection is available, or once, upon installation of the application, to enable an offline mode.

In another aspect, disclosed herein are computer-implemented methods for personalized mastery learning comprising: providing, in a computer storage, a knowledge map describing a subject or topic at a level of learning or proficiency, the knowledge map comprising a plurality of nodes, each node representing at least one learning objective, wherein the nodes are arranged in the map hierarchically and so as to represent prerequisite relationships between learning objectives; providing, in the computer storage, a plurality of learning activities, each learning activity comprising dynamically variable scaffolding, feedback, and/or content; maintaining, in the computer storage, a database associating one or more of the nodes with one or more of the learning activities; identifying, by a computer, at least one current node on the map for a particular learner based on performance of the learner and using the at least one current node and the data storage to select one or more learning activities for the learner; and dynamically varying, by the computer, one or more of the scaffolding, feedback, and content of at least one selected learning activity based on performance of the learner. In some embodiments, the method comprises providing a plurality of knowledge maps. In some embodiments, the database is a prerequisite map. In further embodiments, each node of the knowledge map is associated in the prerequisite map with one or more learning activities. In some embodiments, each learning activity comprises interactive instructions. In some embodiments, the subject or topic is math, reading, science, social studies, art, music, language arts, foreign language, or a combination thereof. In some embodiments, the level of learning is pre-K. In other embodiments, the level of learning is a K-12 grade level. In some embodiments, the level of learning is a proficiency level, a fluency level, a competency level, a mastery level, or a combination thereof. In some embodiments, identifying the at least one current node comprises identifying the node immediately subsequent to the highest node in a portion of the hierarchy for which the learner has demonstrated mastery. In some embodiments, identifying the at least one current node is performed after completion of each learning activity. In other embodiments, identifying the at least one current node is performed after each learner interaction with a learning activity. In yet other embodiments, identifying the at least one current node is performed continuously. In some embodiments, each learning activity comprises a content type and wherein the method further comprises selecting a content type for the learner. In further embodiments, the content type is directed to a learning objective associated with a concept, a principle, a skill, or data. In some embodiments, a plurality of learning activities are selected for the learner and a choice of learning activities is presented to the learner. In some embodiments, varying the one or more selected learning activities is performed after each learner interaction with a learning activity. In other embodiments, varying the one or more selected learning activities is performed continuously. In some embodiments, the method is implemented in an offline environment, wherein in the offline environment performance data for the learner is stored locally and the identification of the at least one current node and the dynamic variation of the learning activity is based on the locally stored performance data. In some embodiments, the performance data for the learner is accessed occasionally, when a network connection is available, or once, upon installation of the application, to enable implementation of the method in an offline mode.

In another aspect, disclosed herein are personalized mastery learning platforms comprising: a server-side learning activity selection application comprising: a knowledge map describing a subject or topic at a level of learning or proficiency, the knowledge map comprising a plurality of nodes, each node representing at least one learning objective, wherein the nodes are arranged in the map hierarchically and so as to represent prerequisite relationships between learning objectives; a plurality of learning activities, each learning activity comprising dynamically variable scaffolding, feedback, and/or content; a data storage associating one or more of the nodes with one or more of the learning activities; and instructions, which when executed by one or more processors, causes the one or more processors to perform: identifying at least one current node on the map for a particular learner based on performance of the learner and using the at least one current node and the data storage to select one or more selected learning activities for the learner; a client-side learning activity modification application comprising instructions, which when executed by one or more processors, causes the one or more processors to perform: dynamically varying one or more of the scaffolding, feedback, and content of the one or more selected learning activities based on performance of the learner. In some embodiments, the server-side learning activity selection application is hosted on a server, on a plurality of servers, or on a cloud computing platform or service. In some embodiments, the client-side learning activity modification application is a component of a learner web application or a learner mobile application. In some embodiments, the data storage is a prerequisite map. In further embodiments, each node of the knowledge map is associated in the prerequisite map with one or more learning activities. In some embodiments, the server-side learning activity selection application comprises a plurality of knowledge maps. In some embodiments, each learning activity comprises interactive instructions. In some embodiments, the subject or topic is math, reading, science, social studies, art, music, language arts, foreign language, or a combination thereof. In some embodiments, the level of learning is pre-K. In other embodiments, the level of learning is a K-12 grade level. In some embodiments, the level of learning is a proficiency level, a fluency level, a competency level, a mastery level, or a combination thereof. In some embodiments, the learning activity selection application identifies the at least one current node as the node immediately subsequent to the highest node in a portion of the hierarchy for which the learner has demonstrated mastery. In some embodiments, the learning activity selection application identifies the at least one current node after completion of each learning activity. In other embodiments, the learning activity selection application identifies the at least one current node after each learner interaction with a learning activity. In yet other embodiments, the learning activity selection application continuously identifies the at least one current node. In some embodiments, each learning activity comprises a content type and wherein the learning activity selection module selects a content type for the learner. In further embodiments, the content type is directed to a learning objective associated with a concept, a principle, a skill, or data. In some embodiments, a plurality of learning activities are selected for the learner and a choice of learning activities is presented to the learner. In some embodiments, the learning activity modification module varies the one or more selected learning activities after each learner interaction with a learning activity. In other embodiments, the learning activity modification module continuously varies the one or more selected learning activities. In some embodiments, the application further comprises an offline mode, wherein in the offline mode performance data for the learner is cached and the learning activity selection module and the learning activity modification module access the cached performance data. In some embodiments, the learning activity selection module and the learning activity modification module access the performance data for the learner occasionally, when a network connection is available, or once, upon installation of the application, to enable an offline mode.

BRIEF DESCRIPTION OF THE DRAWINGS

The novel features of the invention are set forth with particularity in the appended claims. A better understanding of the features and advantages of the present invention will be obtained by reference to the following detailed description that sets forth illustrative embodiments, in which the principles of the invention are utilized, and the accompanying drawings of which:

FIG. 1 shows a non-limiting example of a flow diagram; in this case, a diagram illustrating an analytics engine for an adaptive learning system described herein and describing the flow of data;

FIG. 2 shows a non-limiting example of a flow diagram; in this case, a diagram illustrating a framework for the relationships between data utilized in an adaptive learning system described herein;

FIG. 3 shows a non-limiting example of a knowledge map; in this case, a knowledge map for the subject of number sense at the Pre-K level;

FIG. 4 shows a non-limiting example of a prerequisite map; in this case, a prerequisite map for the knowledge map of FIG. 3 for the subject of number sense at the Pre-K level;

FIG. 5 shows a non-limiting example of a node in a prerequisite map; in this case, a node in the prerequisite map of FIG. 4 for the subject of number sense at the Pre-K level;

FIGS. 6A-6E show a non-limiting example of a core loop for the design of a learning activity; in this case, a learning activity called trees teaching numeral fluency at the Pre-K level;

FIG. 6F shows a non-limiting example of back end game design parameters for a learning activity; in this case, back end game design parameters for the learning activity of FIGS. 6A-6E.

FIGS. 7A-7E show a non-limiting example of a core loop for the design of a learning activity; in this case, a learning activity called horses teaching count sequences at the Pre-K level;

FIG. 7F shows a non-limiting example of back end game design parameters for a learning activity; in this case, back end game design parameters for the learning activity of FIGS. 7A-7E.

FIGS. 8A-8E show a non-limiting example of a core loop for the design of a learning activity; in this case, a learning activity called balloons teaching counting at the Pre-K level;

FIG. 8F shows a non-limiting example of back end game design parameters for a learning activity; in this case, back end game design parameters for the learning activity of FIGS. 8A-8E.

FIGS. 9A-21B show a non-limiting exemplary user experience with an adaptive learning system; in this case, a user experience illustrating a student's progress through an exemplary prerequisite map for the subject of number sense, specifically for the numbers 1-10, at the Pre-K level;

FIG. 22 shows a non-limiting example of a digital processing device; in this case, a device with one or more CPUs, a memory, a communication interface, and a display;

FIG. 23 shows a non-limiting example of a web/mobile application provision system; in this case, a system providing browser-based and/or native mobile user interfaces; and

FIG. 24 shows a non-limiting example of a cloud-based web/mobile application provision system; in this case, a system comprising an elastically load balanced, auto-scaling web server and application server resources as well synchronously replicated databases.

DETAILED DESCRIPTION OF THE INVENTION

Described herein, in certain embodiments, are computer-implemented systems comprising: a digital processing device comprising: at least one processor, an operating system configured to perform executable instructions, a memory, and a computer program including instructions executable by the digital processing device to create a personalized mastery learning application comprising: a knowledge map describing a subject or topic at a level of learning, the knowledge map comprising a plurality of nodes, each node representing at least one learning objective, wherein the nodes are arranged in the knowledge map hierarchically so as to represent prerequisite relationships between learning objectives; a plurality of learning activities, each learning activity comprising dynamically variable scaffolding, feedback, and content; a data storage associating one or more of the nodes with one or more of the learning activities; a learning activity selection module identifying at least one current node on the map for a particular learner based on performance of the learner and using the at least one current node and the data storage to select one or more learning activities for the learner; and a learning activity modification module dynamically varying one or more of the scaffolding, feedback, and content of at least one selected learning activity based on performance of the learner.

Also described herein, in certain embodiments, are non-transitory computer-readable storage media encoded with a computer program including instructions executable by a processor to create a personalized mastery learning application comprising: a knowledge map describing a subject or topic at a level of learning, the knowledge map comprising a plurality of nodes, each node representing at least one learning objective, wherein the nodes are arranged in the knowledge map hierarchically so as to represent prerequisite relationships between learning objectives; a plurality of learning activities, each learning activity comprising dynamically variable scaffolding, feedback, and content; a data storage associating one or more of the nodes with one or more of the learning activities; a learning activity selection module identifying at least one current node on the map for a particular learner based on performance of the learner and using the at least one current node and the data storage to select one or more learning activities for the learner; and a learning activity modification module dynamically varying one or more of the scaffolding, feedback, and content of at least one selected learning activity based on performance of the learner.

Also described herein, in certain embodiments, are computer-implemented methods for personalized mastery learning comprising: providing, in a computer storage, a knowledge map describing a subject or topic at a level of learning, the knowledge map comprising a plurality of nodes, each node representing at least one learning objective, wherein the nodes are arranged in the map hierarchically so as to represent prerequisite relationships between learning objectives; providing, in the computer storage, a plurality of learning activities, each learning activity comprising dynamically variable scaffolding, feedback, and content; maintaining, in the computer storage, a database associating one or more of the nodes with one or more of the learning activities; identifying, by a computer, at least one current node on the map for a particular learner based on performance of the learner and using the at least one current node and the data storage to select one or more learning activities for the learner; and dynamically varying, by the computer, one or more of the scaffolding, feedback, and content of at least one selected learning activity based on performance of the learner.

Also described herein, in certain embodiments, are personalized mastery learning platforms comprising: a server-side learning activity selection application comprising: a knowledge map describing a subject or topic at a level of learning, the knowledge map comprising a plurality of nodes, each node representing at least one learning objective, wherein the nodes are arranged in the map hierarchically so as to represent prerequisite relationships between learning objectives; a plurality of learning activities, each learning activity comprising dynamically variable scaffolding, feedback, and content; a data storage associating one or more of the nodes with one or more of the learning activities; and instructions, which when executed by one or more processors, causes the one or more processors to perform: identifying at least one current node on the map for a particular learner based on performance of the learner and using the at least one current node and the data storage to select one or more selected learning activities for the learner; a client-side learning activity modification application comprising instructions, which when executed by one or more processors, causes the one or more processors to perform: dynamically varying one or more of the scaffolding, feedback, and content of the one or more selected learning activities based on performance of the learner.

Certain Definitions

Unless otherwise defined, all technical terms used herein have the same meaning as commonly understood by one of ordinary skill in the art to which this invention belongs. As used in this specification and the appended claims, the singular forms “a,” “an,” and “the” include plural references unless the context clearly dictates otherwise. Any reference to “or” herein is intended to encompass “and/or” unless otherwise stated.

As used herein, “mastery” refers to a high degree of proficiency, demonstrated consistently over time that transfers and does not decay. The meaning of “mastery learning,” in some cases, includes the educational principle that mastery in prerequisite knowledge should be achieved before moving forward to learn subsequent information.

As used herein, “knowledge map” refers to a visual representation of the hierarchical and sequential relationships of granular learning objectives for a subject, or a subset of a subject. In addition to showing the learning objectives, it indicates prerequisite relationships between said objectives. In some cases, a knowledge map is used to plan needed content for the personalized mastery learning system described herein, as well as to inform a related prerequisite map.

As used herein, “prerequisite map” refers to a map, related to a knowledge map, comprising nodes, wherein each node corresponds to a learning objective from a related knowledge map, and contains activities that address said learning objective. In some cases, nodes also have data sets associated with them. In some cases, a prerequisite map described herein is built into the adaptive engine's logic, and is used to determine what activities a learner should see next. In some cases, nodes are optionally associated with learning objective types; the system uses this information to determine which adaptive algorithms to apply.

As used herein, “node,” on a prerequisite map, refers to collection of associated data including a learning objective from a knowledge map and a plurality of activities of increasing difficulty that address said learning objective. Some difficulty levels, in some cases, have more than one option for activities to present to the learner. In some case, nodes also have internal logic for how a learner can progress through their content, before proceeding to the next node. In some cases, one or more nodes are optionally keynodes that have priority over other nodes in a map. In some cases, where a plurality of keynodes are present, the keynodes optionally have the same priority. In some cases, where a plurality of keynodes are present, the keynodes optionally have ranked priority (e.g., priority 1>priority 2>priority 3, etc.).

As used herein, “scaffolding” refers to instructional scaffolding or support given during the learning process which is tailored to the needs of the learner with the intention of helping the student achieve one or more learning objectives. These supports may include, by way of examples, granted access to resources, modeling a task, giving advice, providing encouragement, coaching, templates, and/or guides, or any combination thereof. These supports are, in some cases, gradually modified or removed as students develop mastery.

Adaptive Learning

In some embodiments, the platforms, systems, media, and methods described herein include adaptive learning technologies, or use of the same. The learning experience provided adapts to the learner in multiple ways simultaneously. By way of example, the knowledge map is selected or determined, at least in part, based on performance of the learner and their individual level of mastery demonstrated. By way of further example, the learning content is selected or determined, at least in part, based on performance of the learner and their individual level of mastery demonstrated. In some cases, the content adapts via changes in type, difficulty, and/or quantity, as well as by media used to present the content. By way of still further example, the scaffolding provided is selected or determined, at least in part, based on performance of the learner and their individual level of mastery demonstrated. In some cases, the scaffolding adapts via changes in type, frequency, detail, and/or degree as well as by media used to convey the scaffolding (e.g., text, graphics, animations, videos, sound effects, music, and/or voice overs, etc.). By way of yet further example, the feedback provided is selected or determined, at least in part, based on performance of the learner and their individual level of mastery demonstrated. In some cases, the feedback adapts via changes in type, frequency, detail, and/or degree as well as by media used to convey the feedback (e.g., text, graphics, animations, videos, sound effects, music, and/or voice overs, etc.).

Tracking learner performance and building a database of learner data are keys to determining an individual learner's level of mastery, the learner's current node(s) on a prerequisite map, and determining what type of adaptations, and what degree of adaptation, would be most effective for a particular learner at any given moment.

Many types of learner data are suitable for making these determinations. By way of non-limiting examples, suitable learner data includes, specific learning activities completed, successful interactions with learning activities (e.g., tasks completed successfully, questions answered successfully, assessments completed successfully, etc.), number of learning activities completed, types of learning activities completed, and the like. By way of further non-limiting examples, suitable learner data includes, specific learning activities undertaken unsuccessfully, unsuccessful interactions with learning activities (e.g., tasks undertaken unsuccessfully, questions answered unsuccessfully, assessments undertaken unsuccessfully, etc.), number of learning activities undertaken unsuccessfully, types of learning activities undertaken unsuccessfully, and the like. By way of still further non-limiting examples, suitable learner data includes, learning activities abandoned, incomplete interactions with learning activities, number of learning activities abandoned, types of learning activities abandoned, and the like. In some embodiments, suitable learner data includes learner preferences, mentor (e.g., teacher, parent, etc.) preferences, and the like.

Referring to FIG. 1, in a particular embodiment, an analytics engine underlays the adaptive learning technologies described herein. In this embodiment, a data warehouse fuels an offline batch analysis module, which in turn informs both game design (including games, art, and associated metadata) and system design (including adaptive engine filters). Further, in this embodiment, data generated by game play is utilized by the adaptivity features and the decisions of the adaptation engine are utilized by the games.

Referring to FIG. 2, in a particular embodiment, a data framework is utilized to generate learner data for a data warehouse. In this embodiment, progress through learning units 200, learner actions 205, and game events 210 are all tracked to determine location 220 for a particular learner 225 in the current knowledge map. Further, in this embodiment, the identity of the learner 225 is tracked via player ID, date/time stamps on events, and session ID. With regard to progress through learning units 200, the start and the end of each unit is optionally stored as well as the learner's success or failure in each unit 215. With regard to learner actions 205, one or more of in-game actions and UI menu interactions are optionally tracked. Finally, with regard to game events 210 one or more of instruction cues and cut scenes are optionally utilized.

Knowledge Map

In some embodiments, the platforms, systems, media, and methods described herein include one or more knowledge maps, or use of the same. In some embodiments, a knowledge map comprises a plurality of nodes. In further embodiments, a node in a knowledge map represents at least one learning objective within the topic or subject. Knowledge maps, in some cases, are simple and comprise a limited number of nodes. In other cases, knowledge maps are complex and comprise a large number of nodes. In various embodiments, a knowledge map suitably comprises 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, or more nodes. In other various embodiments, a knowledge map suitably comprises about 5, 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, or more nodes, including increments therein. In yet other various embodiments, a knowledge map suitably comprises about 25, 50, 75, 100, 125, 150, 175, 200, 225, 250, 275, 300, 325, 350, 375, 400, 425, 450, 475, 500, or more nodes, including increments therein. In yet other various embodiments, a knowledge map suitably comprises about 100, 200, 300, 400, 500, 600, 700, 800, 900, 1000, or more nodes, including increments therein.

In some embodiments, a knowledge map is directed to a topic. In other embodiments, a knowledge map is directed to a subject. In further embodiments, a knowledge map is directed to a particular level of learning for a subject. Many subjects are suitable and include, by way of non-limiting examples, math, reading, science, social studies, art, music, language arts, foreign language, and combinations thereof. Similarly, many levels of learning are suitable and include, by way of non-limiting examples, a pre-K, level, a Kindergarten level, a first grade level, a second grade level, a third grade level, a fourth grade level, a fifth grade level, a sixth grade level, a seventh grade level, an eighth grade level, a ninth grade level, a tenth grade level, an eleventh grade level, a twelfth grade level, and the like, including intermediate levels between. In other embodiments, a level of learning is not linked to a school grade level, but instead is a proficiency level, a fluency level, a competency level, a mastery level, or a combination thereof.

In some embodiments, a node in a knowledge map represents one learning objective within the topic or subject. In other embodiments, a node in a knowledge map represents 2, 3, 4, 5, 6, 7, 8, 9, 10, or more learning objectives within the topic or subject. In yet other embodiments, a node in a knowledge map represents 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, or more learning objectives within the topic or subject, including increments therein. In some embodiments, the systems, media, methods, platforms, and applications described herein comprise one knowledge map. In other embodiments, the systems, media, methods, platforms, and applications described herein comprise a plurality of knowledge maps. In further embodiments, the systems, media, methods, platforms, and applications described herein comprise 2, 3, 4, 5, 6, 7, 8, 9, 10, or more of knowledge maps. In still further embodiments, the systems, media, methods, platforms, and applications described herein comprise about 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, or more of knowledge maps, including increments therein. In still further embodiments, the systems, media, methods, platforms, and applications described herein comprise about 50, 100, 150, 200, 250, 300, 350, 400, 450, 500, 550, 600, 650, 700, 750, 800, 850, 900, 950, 1000, or more of knowledge maps, including increments therein.

In some embodiments, the nodes are arranged in the knowledge map hierarchically and so as to represent prerequisite relationships between learning objectives. In some embodiments, the nodes are arranged in a linear hierarchical manner. A knowledge map, in some embodiments, includes one linear arrangement of nodes. In other embodiments, a knowledge map includes a plurality of linear arrangements of nodes. As such, in some embodiments, a knowledge map includes multiple independent linear arrangements of nodes. In other embodiments, the nodes are arranged in a hierarchical branching manner. In some cases, a hierarchical branching arrangement of nodes is complex and includes 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, or more branch points, including increments therein. A knowledge map, in some embodiments, includes one or more linear arrangement of nodes and one or more branching arrangements of nodes.

In some cases, a knowledge map is created by one or more instructional designers. In other cases, a knowledge map is created by one or more teachers or mentors. In particular cases, creation of a knowledge map is crowdsourced. In other particular cases, a knowledge map is imported or uploaded from a third-party application via an API or the like.

Referring to FIG. 3, in a particular embodiment, a knowledge map is directed to number sense at a Pre-K level of learning. In this example, each node in the knowledge map represents a learning objective within the topic of number sense at the Pre-K level. In this case, the nodes are arranged in the knowledge map hierarchically and so as to represent prerequisite relationships between learning objectives. This knowledge map comprises twelve nodes. Some nodes represent learning objectives directed to counting and working with quantities of objects 300, 305, 310, 315, and 320. Other nodes represent learning objectives directed to working with sequences (especially oral counting sequences) 325, 330, 335, 340, and 345. Yet other nodes represent learning objectives directed to working with numerals and other symbolic representations of numbers 345, 350, and 355.

In some embodiments, a data storage associates one or more of the nodes with one or more of the learning activities. In some embodiments, one node of the knowledge map is associated with one or more learning activities. In other embodiments, a plurality of nodes of the knowledge map are associated with one or more learning activities. In yet other embodiments, each node of the knowledge map is associated with one or more learning activities. In some embodiments, the data storage is a prerequisite map.

In some embodiments, one or more nodes in a prerequisite map are keynodes that have priority over other nodes in the map. In other words, the learning objectives, and thus the learning activities, associated with a keynode must be mastered before others. In some embodiments, one node in a prerequisite map is a keynode. In other various embodiments, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, or more nodes in a prerequisite map are keynodes. In some embodiments, where a plurality of keynodes are present, the keynodes all have the same priority and must be addressed before other nodes, but in no particular order. In other embodiments, where a plurality of keynodes are present, two or more of the keynodes have ranked priority (e.g., priority 1>priority 2>priority 3, etc.) and must be addressed in the ranked order.

Referring to FIG. 4, in a particular embodiment, each node of the knowledge map of FIG. 3 is associated with a learning activity in a prerequisite map. In this example, some nodes of the prerequisite map are keynodes 400, 405, 410, and 415, which represent learning activities that must be successfully completed before any downstream learning activities are attempted. This is because the keynodes represent learning activities directed to learning objectives that are logical prerequisites to the downstream learning objectives to which the downstream learning activities are directed. Keynodes, in some cases, are prioritized. In this example, one keynode has Priority 1 400, two keynodes have Priority 2 405, 410, and one keynode has Priority 3 415. Nodes, in some cases, are one or more of several types. In this example, some nodes are Skill nodes teaching a skill 400, 405, 410, and 415. Further, in this example, some nodes are Concept nodes teaching a concept 420, 425, 430, and 435. Still further, in this example, some nodes are Data nodes teaching facts that must be memorized 440 and 445.

Referring to FIG. 5, in a particular embodiment, a node of the prerequisite map of FIG. 4, represents the learning objective of reciting the oral count sequence from 6-10. This node is associated with six learning activities a pretest 500, a teaching activity 510, three levels of practice (easy 530, medium 515, and hard 525), and an assessment activity 520. Nodes, in some cases, have internal logic to route the learner to various learning activities based on performance. In this example, a learner starts at the pretest 500, if they successfully complete the pretest, they are provided with access to the next available node in the perquisite map 505. If the learner fails the pretest, they are provided with access to the teaching phase 510. After the teaching phase 510, learners are provided with access to the medium practice phase 515. If the learner successfully completes the medium practice phase 515, they are provided with access to the assessment phase (Boss) 520. If the learner fails the medium practice phase 515, they descend to the easy practice phase 530 and eventually back to the teaching phase 510 if need be. Adequate success in the assessment phase 520 results in access to the next available node 505, but failure of the assessment phase 520 results in the learner being shuttled back to practice at the hard level 525 and can descend from there if the learner does not demonstrate mastery of reciting the oral count sequence from 6-10.

Learning Activities

In some embodiments, the platforms, systems, media, and methods described herein include a plurality of learning activities, or use of the same. In some embodiments, the plurality of learning activities is a data store or database of learning activities. In some embodiments, the plurality of learning activities comprises about 2, 5, 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, or more activities, including increments therein. In further embodiments, the plurality of learning activities comprises about 50, 100, 150, 200, 250, 300, 350, 400, 450, 500, 550, 600, 650, 700, 750, 800, 850, 900, 950, 1000, 2000, 3000, 4000, 5000, or more activities, including increments therein.

Many types of learning activities are suitable. In some embodiments, one or more activities are selected from informal activities including, by way of non-limiting examples, demonstrations, how-to-articles, how-to-videos, and simulations. In some embodiments, one or more activities are selected from preschool activities including, by way of non-limiting examples, books, games, puzzles, art, songs, chants, and music. In some embodiments, one or more activities are selected from K-12 activities including, by way of non-limiting examples, books, games, puzzles, art, music, reading assignments, articles, videos, demonstrations, simulations, quizzes, examinations, worksheets, problem sets, brainstorms, and journals. In some embodiments, one or more activities are selected from higher education activities including, by way of non-limiting examples, books, reading assignments, lectures, articles, videos, demonstrations, simulations, mock examinations, quizzes, examinations, essays, laboratory experiments, problem sets, brainstorms, and journals. In some embodiments, one or more activities are selected from professional activities including, by way of non-limiting examples, books, articles, brainstorms, collaborations, group activities, multi-player games, videos, lectures, role-plays, simulations, demonstrations, quizzes, and exams.

Learning activities, in some embodiments, are directed to different types of learning objectives. In various further embodiments, a learning activity is directed to one or more of: teaching, practicing, or assessing understanding of a concept, teaching, practicing, or assessing understanding of a principle, teaching, practicing, or assessing a skill, or teaching, practicing, or assessing knowledge of data. In some cases, learning activities function differently based on whether they are primarily directed to a concept, a principle, a skill, or data.

In some embodiments, one or more learning activities have dynamically variable scaffolding. In a particular embodiment, each learning activity has dynamically variable scaffolding. Scaffolding is provided to lend support to the learner during the learning process and includes, by way of non-limiting examples, granted access to resources, modeling a task, giving advice, providing encouragement, coaching, templates, and/or guides, or any combination thereof. Moreover, scaffolding is optionally provided by way of text, graphics, animations, interactive elements, video, audio sound effects, music, voice over, and combinations thereof. In some embodiments, dynamically variable scaffolding allows the learning activity to adapt the scaffolding employed in response to learner activity, performance, preferences, and the like. For example, when a learner is performing well, scaffolding is optionally reduced and when a learner is struggling scaffolding is optionally increased.

In some embodiments, one or more learning activities have dynamically variable feedback. In a particular embodiment, each learning activity has dynamically variable feedback. Feedback is provided to inform the learner about their performance during the learning process and includes, by way of non-limiting examples, scores, indicators of success, rewards, encouragement, indicators of inadequate performance, correction, guidance, or any combination thereof. Moreover, feedback is optionally provided by way of text, graphics, animations, interactive elements, video, audio sound effects, music, voice over, and combinations thereof. In some embodiments, dynamically variable feedback allows the learning activity to adapt the feedback provided in response to learner activity, performance, preferences, and the like. For example, when a learner is performing well, feedback is optionally made more concise or less frequent and when a learner is struggling feedback is optionally made more detailed, more frequent, or more encouraging.

In some embodiments, one or more learning activities have dynamically variable learning content. In a particular embodiment, each learning activity has dynamically variable content. In further embodiments, dynamically variable content allows the learning activity to adapt the content presented provided in response to learner activity, performance, preferences, and the like. For example, when a learner is performing well, more challenging content is optionally presented and when a learner is struggling less challenging is optionally presented. By way of further example, content is optionally varied to address a concept, a principle, a skill, or data. By way of still further example, content is optionally varied to accommodate learner interest or preferences.

Selection Module

In some embodiments, the platforms, systems, media, and methods described herein include a learning activity selection module, or use of the same. In further embodiments, the learning activity selection module identifies at least one current node on a knowledge map for a particular learner based on performance of the learner. Where the knowledge map is linear, a learner may have a single current node. Where the knowledge map is branching or has multiple independent learning pathways, a learner may have multiple current nodes, including 2, 3, 4, 5, 6, 7, 8, 9, 10, or more current nodes. In a particular embodiment, the learning activity selection module identifies the at least one current node as the node immediately subsequent to the highest node in a portion of the hierarchy of the map for which the learner has demonstrated mastery.

Identification of one or more current nodes for a learner is suitably executed by the learning activity selection module at various intervals. For example, in some embodiments, the learning activity selection module identifies the at least one current node after completion of each learning activity. In other embodiments, the learning activity selection module identifies the at least one current node after each learner interaction with a learning activity. In yet other embodiments, the learning activity selection module identifies the at least one current node in real-time, continuously, or substantially continuously. In embodiments where the platforms, systems, media, and methods described herein include an offline mode, the learning activity selection module stores learner data locally and identifies the at least one current node for an individual learner only when the application has network connectivity.

In some embodiments, the learning activity selection module uses the at least one current node to select one or more learning activities for the learner. In further embodiments, the learning activity selection module utilizes data storage described herein, such as a prerequisite map, to select one or more learning activities for the learner. In some embodiments, the data storage, such as a prerequisite map, includes associations between the one or more nodes of the knowledge map and one or more particular learning activities.

In some embodiments, the learning activity selection module selects one learning activity for the learner and provides the learner with access to the activity. In other embodiments, the learning activity selection module selects a plurality of learning activities for the learner and presents a choice of learning activities to the learner. For example, in various embodiments, the learning activity selection module selects 2, 3, 4, 5, 6, 7, 8, 9, 10, or more learning activities for the learner and allows the learner to choose between them. In some embodiments, the learner is presented with multiple selected learning activities in a graphic user interface (GUI) and selects an activity by, for example, keystroke, gesture on a touchscreen, pointing device (such as a mouse), or the like. In some embodiments, each learning activity comprises a content type and the learning activity selection module selects a content type for the learner. Content types include, by way of non-limiting examples, those directed to a learning objective associated with a concept, a principle, a skill, or data.

Modification Module

In some embodiments, the platforms, systems, media, and methods described herein include a learning activity modification module, or use of the same. In further embodiments, the learning activity modification module dynamically varies one or more of the scaffolding, feedback, and content of a learning activity based on performance of the learner. In some embodiments, the scaffolding for a learning activity is modified, based at least in part, on performance of the learner and their individual level of mastery demonstrated. By way of examples, the scaffolding is optionally modified via changes in type, frequency, detail, and/or degree as well as by media used to convey the scaffolding (e.g., text, graphics, animations, videos, sound effects, music, and/or voice overs, etc.). In some embodiments, the feedback for a learning activity is modified, based at least in part on performance of the learner and their individual level of mastery demonstrated. By way of examples, the feedback is modified via changes in type, frequency, detail, and/or degree as well as by media used to convey the feedback (e.g., text, graphics, animations, videos, sound effects, music, and/or voice overs, etc.). In some embodiments, the content for a learning activity is modified, based at least in part on performance of the learner and their individual level of mastery demonstrated. By way of examples, the content is modified via changes in type, difficulty, and/or quantity, as well as by media used to present the content.

Modification of scaffolding, feedback, and/or content of a learning activity is suitably executed by the learning activity modification module at various intervals. For example, in some embodiments, the learning activity modification module varies the scaffolding, feedback, and/or content of a learning activity after each learner interaction with a learning activity. In yet other embodiments, the learning activity modification module varies the scaffolding, feedback, and/or content of a learning activity in real-time, continuously, or substantially continuously. In embodiments where the platforms, systems, media, and methods described herein include an offline mode, the learning activity modification module stores learner data locally and varies the scaffolding, feedback, and/or content of a learning activity for an individual learner only when the application has network connectivity.

Offline Mode

In online learning, or e-learning, a learner participates in learning activities via a computer or mobile device that accesses learning content via a computer network, such as the internet. Because Wi-Fi and cellular networks are not completely ubiquitous and do not have 100% up-time, online learning applications should be able to accommodate learning where network connectivity is weak, spotty, occasional, or non-existent. As such, in some embodiments, the platforms, systems, media, and methods described herein include an offline mode, or use of the same.

In an offline mode, in some cases, performance data for the learner is cached at the local device used by the learner. In such embodiments, learning activities, content, and media are downloaded occasionally, when a network connection is available, or once, upon installation of the application, to enable the offline mode. Also, in such embodiments, the learning activity selection module and the learning activity modification module access the cached performance data. In further embodiments, the learning activity selection module and the learning activity modification module access the performance data for the learner occasionally, when a network connection is available, or once, upon installation of the application, to enable the offline mode.

In some embodiments, in an offline mode, a client-side learning activity selection and/or modification applications continue to operate based on learner data cached at the local device. However, in an offline mode, in some embodiments, a server-side learning activity selection and/or modification applications pause operation until a network connection is available.

Digital Processing Device

In some embodiments, the platforms, systems, media, and methods described herein include a digital processing device, or use of the same. In further embodiments, the digital processing device includes one or more hardware central processing units (CPUs) or general purpose graphics processing units (GPGPUs) that carry out the device's functions. In still further embodiments, the digital processing device further comprises an operating system configured to perform executable instructions. In some embodiments, the digital processing device is optionally connected to a computer network. In further embodiments, the digital processing device is optionally connected to the Internet such that it accesses the World Wide Web. In still further embodiments, the digital processing device is optionally connected to a cloud computing infrastructure. In other embodiments, the digital processing device is optionally connected to an intranet. In other embodiments, the digital processing device is optionally connected to a data storage device.

In accordance with the description herein, suitable digital processing devices include, by way of non-limiting examples, server computers, desktop computers, laptop computers, notebook computers, sub-notebook computers, netbook computers, netpad computers, set-top computers, media streaming devices, handheld computers, Internet appliances, mobile smartphones, tablet computers, personal digital assistants, video game consoles, and vehicles. Those of skill in the art will recognize that many smartphones are suitable for use in the system described herein. Those of skill in the art will also recognize that select televisions, video players, and digital music players with optional computer network connectivity are suitable for use in the system described herein. Suitable tablet computers include those with booklet, slate, and convertible configurations, known to those of skill in the art.

In some embodiments, the digital processing device includes an operating system configured to perform executable instructions. The operating system is, for example, software, including programs and data, which manages the device's hardware and provides services for execution of applications. Those of skill in the art will recognize that suitable server operating systems include, by way of non-limiting examples, FreeBSD, OpenBSD, NetBSD®, Linux, Apple® Mac OS X Server®, Oracle® Solaris®, Windows Server®, and Novell® NetWare®. Those of skill in the art will recognize that suitable personal computer operating systems include, by way of non-limiting examples, Microsoft® Windows®, Apple® Mac OS X®, UNIX®, and UNIX-like operating systems such as GNU/Linux®. In some embodiments, the operating system is provided by cloud computing. Those of skill in the art will also recognize that suitable mobile smart phone operating systems include, by way of non-limiting examples, Nokia® Symbian® OS, Apple® iOS®, Research In Motion® BlackBerry OS®, Google® Android®, Microsoft® Windows Phone® OS, Microsoft® Windows Mobile® OS, Linux®, and Palm® WebOS®. Those of skill in the art will also recognize that suitable media streaming device operating systems include, by way of non-limiting examples, Apple TV®, Roku®, Boxee®, Google TV®, Google Chromecast®, Amazon Fire®, and Samsung® HomeSync®. Those of skill in the art will also recognize that suitable video game console operating systems include, by way of non-limiting examples, Sony® PS3®, Sony® PS4®, Microsoft® Xbox 360®, Microsoft Xbox One, Nintendo® Wii®, Nintendo® Wii U®, and Ouya®.

In some embodiments, the device includes a storage and/or memory device. The storage and/or memory device is one or more physical apparatuses used to store data or programs on a temporary or permanent basis. In some embodiments, the device is volatile memory and requires power to maintain stored information. In some embodiments, the device is non-volatile memory and retains stored information when the digital processing device is not powered. In further embodiments, the non-volatile memory comprises flash memory. In some embodiments, the non-volatile memory comprises dynamic random-access memory (DRAM). In some embodiments, the non-volatile memory comprises ferroelectric random access memory (FRAM). In some embodiments, the non-volatile memory comprises phase-change random access memory (PRAM). In other embodiments, the device is a storage device including, by way of non-limiting examples, CD-ROMs, DVDs, flash memory devices, magnetic disk drives, magnetic tapes drives, optical disk drives, and cloud computing based storage. In further embodiments, the storage and/or memory device is a combination of devices such as those disclosed herein.

In some embodiments, the digital processing device includes a display to send visual information to a user. In some embodiments, the display is a liquid crystal display (LCD). In further embodiments, the display is a thin film transistor liquid crystal display (TFT-LCD). In some embodiments, the display is an organic light emitting diode (OLED) display. In various further embodiments, on OLED display is a passive-matrix OLED (PMOLED) or active-matrix OLED (AMOLED) display. In some embodiments, the display is a plasma display. In other embodiments, the display is a video projector. In yet other embodiments, the display is a head-mounted display in communication with the digital processing device, such as a VR headset. In further embodiments, suitable VR headsets include, by way of non-limiting examples, HTC Vive, Oculus Rift, Samsung Gear VR, Microsoft HoloLens, Razer OSVR, FOVE VR, Zeiss VR One, Avegant Glyph, Freefly VR headset, and the like. In still further embodiments, the display is a combination of devices such as those disclosed herein.

In some embodiments, the digital processing device includes an input device to receive information from a user. In some embodiments, the input device is a keyboard. In some embodiments, the input device is a pointing device including, by way of non-limiting examples, a mouse, trackball, track pad, joystick, game controller, or stylus. In some embodiments, the input device is a touch screen or a multi-touch screen. In other embodiments, the input device is a microphone to capture voice or other sound input. In other embodiments, the input device is a video camera or other sensor to capture motion or visual input. In further embodiments, the input device is a Kinect, Leap Motion, or the like. In still further embodiments, the input device is a combination of devices such as those disclosed herein.

Referring to FIG. 22, in a particular embodiment, an exemplary digital processing device 1901 is programmed or otherwise configured to select and customize learning activities for an individual learner based on past and current learner performance data. The device 2201 can regulate various aspects of the adaptive learning of the present disclosure, such as, for example, applying dynamic personalized adaptations to select learning content, suitable scaffolding, and suitable feedback for individual learners. In this embodiment, the digital processing device 2201 includes a central processing unit (CPU, also “processor” and “computer processor” herein) 2205, which can be a single core or multi core processor, or a plurality of processors for parallel processing. The digital processing device 2201 also includes memory or memory location 2210 (e.g., random-access memory, read-only memory, flash memory), electronic storage unit 2215 (e.g., hard disk), communication interface 2220 (e.g., network adapter) for communicating with one or more other systems, and peripheral devices 2225, such as cache, other memory, data storage and/or electronic display adapters. The memory 2210, storage unit 2215, interface 2220 and peripheral devices 2225 are in communication with the CPU 2205 through a communication bus (solid lines), such as a motherboard. The storage unit 2215 can be a data storage unit (or data repository) for storing data. The digital processing device 2201 can be operatively coupled to a computer network (“network”) 2230 with the aid of the communication interface 2220. The network 2230 can be the Internet, an internet and/or extranet, or an intranet and/or extranet that is in communication with the Internet. The network 2230 in some cases is a telecommunication and/or data network. The network 2230 can include one or more computer servers, which can enable distributed computing, such as cloud computing. The network 2230, in some cases with the aid of the device 2201, can implement a peer-to-peer network, which may enable devices coupled to the device 2201 to behave as a client or a server.

Continuing to refer to FIG. 22, the CPU 2205 can execute a sequence of machine-readable instructions, which can be embodied in a program or software. The instructions may be stored in a memory location, such as the memory 2210. The instructions can be directed to the CPU 2205, which can subsequently program or otherwise configure the CPU 2205 to implement methods of the present disclosure. Examples of operations performed by the CPU 2205 can include fetch, decode, execute, and write back. The CPU 2205 can be part of a circuit, such as an integrated circuit. One or more other components of the device 2201 can be included in the circuit. In some cases, the circuit is an application specific integrated circuit (ASIC) or a field programmable gate array (FPGA).

Continuing to refer to FIG. 22, the storage unit 2215 can store files, such as drivers, libraries and saved programs. The storage unit 2215 can store user data, e.g., user preferences and user programs. The digital processing device 2201 in some cases can include one or more additional data storage units that are external, such as located on a remote server that is in communication through an intranet or the Internet.

Continuing to refer to FIG. 22, the digital processing device 2201 can communicate with one or more remote computer systems through the network 2230. For instance, the device 2201 can communicate with a remote computer system of a user. Examples of remote computer systems include personal computers (e.g., portable PC), slate or tablet PCs (e.g., Apple® iPad, Samsung® Galaxy Tab), telephones, Smart phones (e.g., Apple® iPhone, Android-enabled device, Blackberry®), or personal digital assistants.

Methods as described herein can be implemented by way of machine (e.g., computer processor) executable code stored on an electronic storage location of the digital processing device 2201, such as, for example, on the memory 2210 or electronic storage unit 2215. The machine executable or machine readable code can be provided in the form of software. During use, the code can be executed by the processor 2205. In some cases, the code can be retrieved from the storage unit 2215 and stored on the memory 2210 for ready access by the processor 2205. In some situations, the electronic storage unit 2215 can be precluded, and machine-executable instructions are stored on memory 2210.

Non-Transitory Computer Readable Storage Medium

In some embodiments, the platforms, systems, media, and methods disclosed herein include one or more non-transitory computer readable storage media encoded with a program including instructions executable by the operating system of an optionally networked digital processing device. In further embodiments, a computer readable storage medium is a tangible component of a digital processing device. In still further embodiments, a computer readable storage medium is optionally removable from a digital processing device. In some embodiments, a computer readable storage medium includes, by way of non-limiting examples, CD-ROMs, DVDs, flash memory devices, solid state memory, magnetic disk drives, magnetic tape drives, optical disk drives, cloud computing systems and services, and the like. In some cases, the program and instructions are permanently, substantially permanently, semi-permanently, or non-transitorily encoded on the media.

Computer Program

In some embodiments, the platforms, systems, media, and methods disclosed herein include at least one computer program, or use of the same. A computer program includes a sequence of instructions, executable in the digital processing device's CPU, written to perform a specified task. Computer readable instructions may be implemented as program modules, such as functions, objects, Application Programming Interfaces (APIs), data structures, and the like, that perform particular tasks or implement particular abstract data types. In light of the disclosure provided herein, those of skill in the art will recognize that a computer program may be written in various versions of various languages.

The functionality of the computer readable instructions may be combined or distributed as desired in various environments. In some embodiments, a computer program comprises one sequence of instructions. In some embodiments, a computer program comprises a plurality of sequences of instructions. In some embodiments, a computer program is provided from one location. In other embodiments, a computer program is provided from a plurality of locations. In various embodiments, a computer program includes one or more software modules. In various embodiments, a computer program includes, in part or in whole, one or more web applications, one or more mobile applications, one or more standalone applications, one or more web browser plug-ins, extensions, add-ins, or add-ons, or combinations thereof.

Web Application

In some embodiments, a computer program includes a web application. In light of the disclosure provided herein, those of skill in the art will recognize that a web application, in various embodiments, utilizes one or more software frameworks and one or more database systems. In some embodiments, a web application is created upon a software framework such as Microsoft® .NET or Ruby on Rails (RoR). In some embodiments, a web application utilizes one or more database systems including, by way of non-limiting examples, relational, non-relational, object oriented, associative, and XML database systems. In further embodiments, suitable relational database systems include, by way of non-limiting examples, Microsoft® SQL Server, mySQL™, and Oracle®. Those of skill in the art will also recognize that a web application, in various embodiments, is written in one or more versions of one or more languages. A web application may be written in one or more markup languages, presentation definition languages, client-side scripting languages, server-side coding languages, database query languages, or combinations thereof. In some embodiments, a web application is written to some extent in a markup language such as Hypertext Markup Language (HTML), Extensible Hypertext Markup Language (XHTML), or eXtensible Markup Language (XML). In some embodiments, a web application is written to some extent in a presentation definition language such as Cascading Style Sheets (CSS). In some embodiments, a web application is written to some extent in a client-side scripting language such as Asynchronous Javascript and XML (AJAX), Flash® Actionscript, Javascript, or Silverlight®. In some embodiments, a web application is written to some extent in a server-side coding language such as Active Server Pages (ASP), ColdFusion®, Perl, Java™, JavaServer Pages (JSP), Hypertext Preprocessor (PHP), Python™, Ruby, Tcl, Smalltalk, WebDNA®, or Groovy. In some embodiments, a web application is written to some extent in a database query language such as Structured Query Language (SQL). In some embodiments, a web application integrates enterprise server products such as IBM® Lotus Domino®. In some embodiments, a web application includes a media player element. In various further embodiments, a media player element utilizes one or more of many suitable multimedia technologies including, by way of non-limiting examples, Adobe® Flash®, HTML 5, Apple® QuickTime®, Microsoft® Silverlight®, Java™, and Unity®.

Referring to FIG. 23, in a particular embodiment, an application provision system comprises one or more databases 2300 accessed by a relational database management system (RDBMS) 2310. Suitable RDBMSs include Firebird, MySQL, PostgreSQL, SQLite, Oracle Database, Microsoft SQL Server, IBM DB2, IBM Informix, SAP Sybase, SAP Sybase, Teradata, and the like. In this embodiment, the application provision system further comprises one or more application severs 2320 (such as Java servers, .NET servers, PHP servers, and the like) and one or more web servers 2330 (such as Apache, IIS, GWS and the like). The web server(s) optionally expose one or more web services via app application programming interfaces (APIs) 2340. Via a network, such as the Internet, the system provides browser-based and/or mobile native user interfaces.

Referring to FIG. 24, in a particular embodiment, an application provision system alternatively has a distributed, cloud-based architecture 2400 and comprises elastically load balanced, auto-scaling web server resources 2410 and application server resources 2420 as well synchronously replicated databases 2430.

Mobile Application

In some embodiments, a computer program includes a mobile application provided to a mobile digital processing device. In some embodiments, the mobile application is provided to a mobile digital processing device at the time it is manufactured. In other embodiments, the mobile application is provided to a mobile digital processing device via the computer network described herein.

In view of the disclosure provided herein, a mobile application is created by techniques known to those of skill in the art using hardware, languages, and development environments known to the art. Those of skill in the art will recognize that mobile applications are written in several languages. Suitable programming languages include, by way of non-limiting examples, C, C++, C#, Objective-C, Java™, Javascript, Pascal, Object Pascal, Python™, Ruby, VB.NET, WML, and XHTML/HTML with or without CSS, or combinations thereof.

Suitable mobile application development environments are available from several sources. Commercially available development environments include, by way of non-limiting examples, AirplaySDK, alcheMo, Appcelerator®, Celsius, Bedrock, Flash Lite, .NET Compact Framework, Rhomobile, and WorkLight Mobile Platform. Other development environments are available without cost including, by way of non-limiting examples, Lazarus, MobiFlex, MoSync, and Phonegap. Also, mobile device manufacturers distribute software developer kits including, by way of non-limiting examples, iPhone and iPad (iOS) SDK, Android™ SDK, BlackBerry® SDK, BREW SDK, Palm® OS SDK, Symbian SDK, webOS SDK, and Windows® Mobile SDK.

Those of skill in the art will recognize that several commercial forums are available for distribution of mobile applications including, by way of non-limiting examples, Apple® App Store, Google® Play, Chrome WebStore, BlackBerry® App World, App Store for Palm devices, App Catalog for webOS, Windows® Marketplace for Mobile, Ovi Store for Nokia® devices, Samsung® Apps, and Nintendo® DSi Shop.

Standalone Application

In some embodiments, a computer program includes a standalone application, which is a program that is run as an independent computer process, not an add-on to an existing process, e.g., not a plug-in. Those of skill in the art will recognize that standalone applications are often compiled. A compiler is a computer program(s) that transforms source code written in a programming language into binary object code such as assembly language or machine code. Suitable compiled programming languages include, by way of non-limiting examples, C, C++, Objective-C, COBOL, Delphi, Eiffel, Java™, Lisp, Python™, Visual Basic, and VB .NET, or combinations thereof. Compilation is often performed, at least in part, to create an executable program. In some embodiments, a computer program includes one or more executable compiled applications.

Web Browser Plug-in

In some embodiments, the computer program includes a web browser plug-in (e.g., extension, etc.). In computing, a plug-in is one or more software components that add specific functionality to a larger software application. Makers of software applications support plug-ins to enable third-party developers to create abilities which extend an application, to support easily adding new features, and to reduce the size of an application. When supported, plug-ins enable customizing the functionality of a software application. For example, plug-ins are commonly used in web browsers to play video, generate interactivity, scan for viruses, and display particular file types. Those of skill in the art will be familiar with several web browser plug-ins including, Adobe® Flash® Player, Microsoft® Silverlight®, and Apple® QuickTime®.

In view of the disclosure provided herein, those of skill in the art will recognize that several plug-in frameworks are available that enable development of plug-ins in various programming languages, including, by way of non-limiting examples, C++, Delphi, Java™, PHP, Python™, and VB .NET, or combinations thereof.

Web browsers (also called Internet browsers) are software applications, designed for use with network-connected digital processing devices, for retrieving, presenting, and traversing information resources on the World Wide Web. Suitable web browsers include, by way of non-limiting examples, Microsoft® Internet Explorer®, Mozilla® Firefox®, Google® Chrome, Apple® Safari®, Opera Software® Opera®, and KDE Konqueror. In some embodiments, the web browser is a mobile web browser. Mobile web browsers (also called mircrobrowsers, mini-browsers, and wireless browsers) are designed for use on mobile digital processing devices including, by way of non-limiting examples, handheld computers, tablet computers, netbook computers, subnotebook computers, smartphones, music players, personal digital assistants (PDAs), and handheld video game systems. Suitable mobile web browsers include, by way of non-limiting examples, Google® Android® browser, RIM BlackBerry® Browser, Apple® Safari®, Palm® Blazer, Palm® WebOS® Browser, Mozilla® Firefox® for mobile, Microsoft® Internet Explorer® Mobile, Amazon® Kindle® Basic Web, Nokia® Browser, Opera Software® Opera® Mobile, and Sony® PSP™ browser.

Software Modules

In some embodiments, the platforms, systems, media, and methods disclosed herein include software, server, and/or database modules, or use of the same. In view of the disclosure provided herein, software modules are created by techniques known to those of skill in the art using machines, software, and languages known to the art. The software modules disclosed herein are implemented in a multitude of ways. In various embodiments, a software module comprises a file, a section of code, a programming object, a programming structure, or combinations thereof. In further various embodiments, a software module comprises a plurality of files, a plurality of sections of code, a plurality of programming objects, a plurality of programming structures, or combinations thereof. In various embodiments, the one or more software modules comprise, by way of non-limiting examples, a web application, a mobile application, and a standalone application. In some embodiments, software modules are in one computer program or application. In other embodiments, software modules are in more than one computer program or application. In some embodiments, software modules are hosted on one machine. In other embodiments, software modules are hosted on more than one machine. In further embodiments, software modules are hosted on cloud computing platforms. In some embodiments, software modules are hosted on one or more machines in one location. In other embodiments, software modules are hosted on one or more machines in more than one location.

Databases

In some embodiments, the platforms, systems, media, and methods disclosed herein include one or more databases, or use of the same. In view of the disclosure provided herein, those of skill in the art will recognize that many databases are suitable for storage and retrieval of knowledge map, learning objective, learning activity, or learner performance information. In various embodiments, suitable databases include, by way of non-limiting examples, relational databases, non-relational databases, object oriented databases, object databases, entity-relationship model databases, associative databases, and XML databases. Further non-limiting examples include SQL, PostgreSQL, MySQL, Oracle, DB2, and Sybase. In some embodiments, a database is internet-based. In further embodiments, a database is web-based. In still further embodiments, a database is cloud computing-based. In other embodiments, a database is based on one or more local computer storage devices.

EXAMPLES

The following illustrative examples are representative of embodiments of the software applications, systems, and methods described herein and are not meant to be limiting in any way.

Example 1—Trees Learning Activity Teaching Numeral Fluency

The trees learning activity teaches learners how to identify numbers between 1 and 30 by playing Shapey Tag. In the game, the Host Shapey yells out numbers that should be tagged while the learner searches for them and taps each one. Each round has three Shapeys that are taggable. Once tagged, they hop on a bench where the Host Shapey sits. After all three Shapeys are tagged the three go up to the top of a treehouse for a party. By the end of the learning activity the learner sees all the Shapeys celebrating in the treehouse.

The trees learning activity is directed to a data learning objective and uses a memorization node algorithm. If the learner is idle, feedback is provided. For example, if the learner is idle for 10 seconds a voice over is provided; if the learner is idle for 30 seconds a visual pop-up is provided.

The number of rounds in the activity is based on how many questions the learner got wrong in the associated pretest. The learner will always have helping hand throughout every part of teaching showing them which Shapeys to tap next.

Referring to FIG. 6A, in this example, at the activity start the learner discovers that they are playing Shapey tag.

Referring to FIG. 6B, further in this example, at the round start all the Shapeys run onto the screen from the right.

Referring to FIG. 6C, further in this example, during Shapey Tag the Shapeys run on the screen while the learner taps them. As they tap correct Shapeys they jump up to the bench to sit with Host Shapey.

Referring to FIG. 6D, further in this example, at the round end all tagged Shapeys climb up to the treehouse.

Referring to FIG. 6E, further in this example, at the activity end the camera pans up to show four Shapeys celebrating in a random treehouse.

Referring to FIG. 6F, in this example, the learning activity has multiple phases, which include pretest, teaching (e.g., instructional), three levels of practice (easy, medium, and hard), and boss (e.g., final demonstration of mastery). The level of scaffolding and feedback are variable, based on the phase. For example, the number of extra Shapeys, the presence of bushes, the presence of Shapey voice overs, whether the Shapeys on the bench display a number, and type of hints provided by the Host Shapey vary based on the phase. Also, in this example, the adaptivity of the learning activity is mapped. For example, the teaching phase is automatically passed upon completion and the learner is presented with the medium practice phase. If the learner fails the medium practice phase, they are presented with the easy practice phase. If the learner passes the medium practice phase, they are presented with the boss phase. If the learner fails the boss phase, they descend through the practice phases and may end up in back in the teaching phase.

Example 2—Horses Learning Activity Teaching Count Sequences

The horses learning activity teaches learners how to count forward from 1 to 20 by getting Shapeys ready for stage performances. In this learning activity, there are five Shapeys who will perform on horses, but some of the Shapeys need to be on their horses! The learner drags Shapeys onto appropriate horses by counting forward in four different datasets. Once all of the Shapeys are on their horses, the learner taps a done button to finish a round. By the end of an activity, the learner will see the Shapeys do a final performance on the mainstage!

The horses learning activity is directed to a data learning objective and uses a mistakes node algorithm. If the learner is idle, feedback is provided. For example, if the learner is idle for 10 seconds a voice over is provided; if the learner is idle for 30 seconds a visual pop-up is provided.

The teaching flow in the horses learning activity is: Round 0—All Horses already have Shapeys; Round 1 (E)—The fourth horse is missing a Shapey; Round 2 (E)—The fifth horse is missing a Shapey; and Round 3 (H)—The second horse is missing a Shapey. Learners will always have helping hand throughout every part of teaching. The learner is instructed to tap each horse to count them at the beginning of every round, excluding Round 0.

Referring to FIG. 7A, in this example, at the activity start the learner discovers that the Shapeys are performing, but they aren't ready.

Referring to FIG. 7B, further in this example, at the round start all 5 horses run onto the screen from left to right and count off one at a time. Horse costume will be based on the dataset addressed by the learning activity.

Referring to FIG. 7C, further in this example, at the Shapey placement phase Shapeys appear based on Answer Key Rules per Level. The learner drags Shapeys onto the horses. After all horses have Shapeys, a done button appears to end the round.

Referring to FIG. 7D, further in this example, at the round end all of the Shapeys exit the screen to the right to go to the mainstage.

Referring to FIG. 7E, further in this example, at the activity end the camera pans over to the right to show the Shapeys doing their final performance.

Referring to FIG. 7F, in this example, the learning activity has multiple phases, which include pretest, teaching (e.g., instructional), three levels of practice (easy, medium, and hard), and boss (e.g., final demonstration of mastery). The level of scaffolding and feedback are variable, based on the phase. In this example, the adaptivity of the learning activity is mapped. For example, the teaching phase is automatically passed upon completion and the learner is presented with the medium practice phase. If the learner fails the medium practice phase, they are presented with the easy practice phase. If the learner passes the medium practice phase, they are presented with the boss phase. If the learner fails the boss phase, they descend through the practice phases and may end up in back in the teaching phase.

Example 3—Balloons Learning Activity Teaching Counting

In the balloons learning activity a gaggle of excited Shapeys have arrived to take a fun trip on a hot air balloon! The learner will need to count the Shapeys and choose the correct balloon for them to ride in. The learner can count off the Shapeys before selecting a balloon that fits the exact number of Shapeys in the scene.

The balloons learning activity is directed to a skill learning objective and uses a mistakes node algorithm. If the learner is idle, feedback is provided. For example, if the learner is idle when counting Shapeys for 10 seconds is voice over is provided; if the learner is idle when counting Shapeys for 30 or 60 seconds a voice over and a helping hand is provided; if the learner is idle when selecting a balloon for 10 seconds a voice over is provided; if the learner is idle when selecting a balloon for 30 seconds a visual pop-up is provided; and if the learner is idle when selecting a balloon for 60 seconds the correct answer is presented (only on easy difficulty).

Referring to FIG. 8A, in this example, at the activity start Tourist Shapey is all alone in a hot air balloon. The camera pans down, to show many more Shapeys and Balloons waiting to join Tourist Shapey in the air.

Referring to FIG. 8B, further in this example, at the round start the learner counts the Shapeys. The learner counts all of the Shapeys by tapping on them.

Referring to FIG. 8C, further in this example, the learner next chooses a balloon. After tapping on all the Shapeys, the learner must select the basket that is just the right size. The learner taps on a basket, and the Shapeys all jump into it.

Referring to FIG. 8D, further in this example, at the round end the Shapeys throw ballast out of the basket, and it rises up into the air. The camera pans right, revealing more Shapeys and baskets to count.

Referring to FIG. 8E, further in this example, at the activity end after all the Shapeys are up in the air, the camera pans up. Tourist Shapey is taking pictures with all the other Shapeys.

Referring to FIG. 8F, in this example, the learning activity has multiple phases, which include pretest, teaching (e.g., instructional), three levels of practice (easy, medium, and hard), and boss (e.g., final demonstration of mastery). The level of scaffolding and feedback are variable, based on the phase. For example, the number of rounds, the number of balloons, whether the Shapeys say and/or show their number when counted, whether the Shapeys count off after getting in the balloon, the delta dataset, and the distractor rules vary based on the phase. Also, in this example, the adaptivity of the learning activity is mapped. For example, the teaching phase is automatically passed upon completion and the learner is presented with the medium practice phase. If the learner fails the medium practice phase, they are presented with the easy practice phase. If the learner passes the medium practice phase, they are presented with the boss phase. If the learner fails the boss phase, they descend through the practice phases and may end up in back in the teaching phase.

Example 4—Learner Experience for Number Sense Pretesting at the Pre-K Level

A 4-year-old learner, Prudence, is working on learning number sense at the Pre-K level. She has achieved mastery on her number sense up to 5, but is just starting to learn her numbers up to 10. She is participating in an online personalized mastery learning system on a very small prerequisite map, with just three games. The games are Trees (addressing numeral recognition; see Example 1), Horses (addressing count sequence; see Example 2) and Balloons (addressing counting objects; see Example 1). In this example, Horses is a prerequisite to Balloons: a learner has to know the order numbers come in before they can use that information to count objects; and Trees is on a separate track in the prerequisite map: a learner does not need to be able to read numerals in order to recite a count sequence or to count a set of objects. These rules are reflected in the associated prerequisite map.

As shown in FIG. 9A, in this example, Prudence begins at the start of the map. The map has two keynodes, one of which is Priority 1. We don't know Prudence's level of mastery, so she starts at the Priority 1 node, which is the Balloons 1-5 node. She also starts at the Trees 1-5 node, because it is not preceded by any nodes of equal or higher priority. As shown in FIG. 9B, in this example, Prudence's Hub (e.g., interactive online learning graphic user interface) currently provides access to two learning activities: Balloons Pretest 1-5, and Trees Pretest 1-5.

As shown in FIG. 10, in this example, Prudence next taps on the icon in the middle, the Balloons 1-5 pretest. She gets every question right. Way to go, Prudence! She gets credit for the Balloons 1-5 node. She also gets credit for Horses 1-5 because it is a prerequisite to Balloons. If she can do Balloons, we're confident she can do Horses. Now, we check for new pretests.

As shown in FIG. 11A, in this example, the prerequisite map indicates that Prudence has received credit for the Balloons 1-5 node (a keynode) and the Horses 1-5 node. The Balloons 6-10 learning activity is the next priority keynode on the map and has Priority 2. As shown in FIG. 11B, in this example, the Trees 1-5 pretest stays on Prudence's Hub, because Prudence hasn't done it yet. She also now has access to the Balloons 6-10 learning activity, because it's the next priority keynode on the map. Accordingly, Prudence's Hub provides her with access to two activities: Trees Pretest 1-5, and Balloons Pretest 6-10. She picks Balloons Pretest 6-10.

As shown in FIG. 12, in this example, Prudence failed the Balloons 6-10 pretest. That node is now marked as pretested, so it won't come up as a pretest again.

As shown in FIG. 13A, in this example, based on the map, Prudence is placed the Horses 6-10 pretest. Horses is a prerequisite to Balloons, and it could be the reason she's having trouble with the harder skill. As shown in FIG. 13B, in this example, Prudence's Hub currently provides her with access to two learning activities: Trees Pretest 1-5 and Horses Pretest 6-10. She picks Horses Pretest 6-10.

As shown in FIG. 14, in this example, Prudence failed the Horses 6-10 pretest. It looks like that was indeed the reason she had trouble with Balloons.

As shown in FIG. 15A, in this example, since there are no available prerequisite nodes to pretest according to the map, Prudence is placed in Horses 6-10, at the Teaching phase. As shown in FIG. 15B, in this example, Prudence's Hub currently has two activities: Trees Pretest 1-5, and Horses Teaching 6-10. She likes the scientist character, so she continues picking pretest activities to play.

As shown in FIG. 16, in this example, Prudence now starts down the other leg of the map. She plays the Trees 1-5 pretest. She succeeds with a perfect score.

As shown in FIG. 17A, in this example, the Trees 1-5 game is a Data game, which means it uses slightly different logic. Instead of moving directly on to the next node, Prudence will first confirm her knowledge by playing the Trees 1-5 Boss activity. As shown in FIG. 17B, in this example, Prudence's Hub currently provides access to two activities: Trees Boss 1-5 and Horses Teaching 6-10.

As shown in FIG. 18, in this example, Prudence participates in the Trees 1-5 Boss activity and also got a perfect score. Good work, Prudence! Now, her final pretest, Trees 6-10, is activated.

As shown in FIG. 19A, in this example, the prerequisite map reflects that Prudence has received credit for Balloons 1-5, Horses 1-5, and Trees 1-5. She is working on Trees 6-10 and must first complete the pretest. As shown in FIG. 19B, in this example, Prudence's Hub currently provides access to two activities: Trees Pretest 6-10 and Horses Teaching 6-10.

As shown in FIG. 20, in this example, Prudence missed a couple of numbers in the Trees 6-10 pretest.

As shown in FIG. 21A, in this example, Prudence is now placed at the Teaching phase of Trees 6-10 according to the map, but will only be taught the numbers she missed. As shown in FIG. 21B, in this example, Prudence's Hub currently provides access to two activities: Trees Teaching 6-10 and Horses Teaching 6-10. Prudence is now completely done with pretesting and her current node on the map, based on her level of mastery, is identified. From here on out, she will progress forward through the nodes, per pass/fail rules described in Examples 1-3 and FIGS. 6F, 7F, and 8F.

While preferred embodiments of the present invention have been shown and described herein, it will be obvious to those skilled in the art that such embodiments are provided by way of example only. Numerous variations, changes, and substitutions will now occur to those skilled in the art without departing from the invention. It should be understood that various alternatives to the embodiments of the invention described herein may be employed in practicing the invention. 

1. A computer-implemented system comprising: a digital processing device comprising: at least one processor, an operating system configured to perform executable instructions, a memory, and a computer program including instructions executable by the digital processing device to create a personalized mastery e-learning application comprising: a) a knowledge map describing a subject or topic at a level of learning, the knowledge map comprising a plurality of nodes, each node representing at least one learning objective, wherein the nodes are arranged in the knowledge map hierarchically and so as to represent prerequisite relationships between learning objectives; b) a plurality of learning activities, each learning activity comprising dynamically variable scaffolding, feedback, and content; c) a data storage associating one or more of the nodes with one or more of the learning activities; d) a learning activity selection module identifying at least one current node on the map for a particular learner based on performance of the learner and using the at least one current node and the data storage to select one or more learning activities for the learner; and e) a learning activity modification module dynamically varying the scaffolding, feedback, and content of at least one selected learning activity based on performance of the learner, wherein the scaffolding comprises lending support to the learner comprising granting access to resources, modeling a task, giving advice, providing encouragement, coaching, templates, or guides until the learner achieves mastery.
 2. The system of claim 1, wherein the application comprises a plurality of knowledge maps.
 3. The system of claim 1, wherein the data storage is a prerequisite map.
 4. The system of claim 3, wherein each node of the knowledge map is associated in the prerequisite map with one or more learning activities.
 5. The system of claim 1, wherein each learning activity comprises interactive instructions.
 6. The system of claim 1, wherein the subject or topic is math, reading, science, social studies, art, music, language arts, foreign language, or a combination thereof.
 7. The system of claim 1, wherein the level of learning is pre-K or a K-12 grade level.
 8. The system of claim 1, wherein the level of learning is a proficiency level, a fluency level, a competency level, a mastery level, or a combination thereof.
 9. The system of claim 1, wherein the learning activity selection module identifies the at least one current node as the node immediately subsequent to the highest node in a portion of the hierarchy for which the learner has demonstrated mastery.
 10. The system of claim 1, wherein the learning activity selection module identifies the at least one current node after completion of each learning activity.
 11. The system of claim 1, wherein the learning activity selection module identifies the at least one current node after each learner interaction with a learning activity.
 12. The system of claim 1, wherein the learning activity selection module continuously identifies the at least one current node.
 13. The system of claim 1, wherein each learning activity comprises a content type and wherein the learning activity selection module selects a content type for the learner.
 14. The system of claim 13, wherein the content type is directed to a learning objective associated with a concept, a principle, a skill, or data.
 15. The system of claim 1, wherein the learning activity selection module selects a plurality of learning activities for the learner and presents a choice of learning activities to the learner.
 16. The system of claim 1, wherein the learning activity modification module varies the one or more selected learning activities after each learner interaction with a learning activity.
 17. The system of claim 1, wherein the learning activity modification module continuously varies the one or more selected learning activities.
 18. The system of claim 1, wherein the application further comprises an offline mode, wherein in the offline mode performance data for the learner is cached and the learning activity selection module and the learning activity modification module access the cached performance data.
 19. The system of claim 1, wherein the learning activity selection module and the learning activity modification module access the performance data for the learner occasionally, when a network connection is available, or once, upon installation of the application, to enable an offline mode.
 20. Non-transitory computer-readable storage media encoded with a computer program including instructions executable by a processor to create a personalized mastery e-learning application comprising: a) a knowledge map describing a subject or topic at a level of learning, the knowledge map comprising a plurality of nodes, each node representing at least one learning objective, wherein the nodes are arranged in the knowledge map hierarchically and so as to represent prerequisite relationships between learning objectives; b) a plurality of learning activities, each learning activity comprising dynamically variable scaffolding, feedback, and content; c) a data storage associating one or more of the nodes with one or more of the learning activities; d) a learning activity selection module identifying at least one current node on the map for a particular learner based on performance of the learner and using at least one current node and the data storage to select one or more learning activities for the learner; and e) a learning activity modification module dynamically varying the scaffolding, feedback, and content of at least one selected learning activity based on performance of the learner, wherein the scaffolding comprises lending support to the learner comprising granting access to resources, modeling a task, giving advice, providing encouragement, coaching, templates, or guides until the learner achieves mastery.
 21. The media of claim 20, wherein the application comprises a plurality of knowledge maps.
 22. The media of claim 20, wherein the data storage is a prerequisite map associating a plurality of the nodes of the knowledge map with one or more learning activities.
 23. A computer-implemented method for personalized mastery e-learning comprising: a) providing, in a computer storage, a knowledge map describing a subject or topic at a level of learning, the knowledge map comprising a plurality of nodes, each node representing at least one learning objective, wherein the nodes are arranged in the map hierarchically and so as to represent prerequisite relationships between learning objectives; b) providing, in the computer storage, a plurality of learning activities, each learning activity comprising dynamically variable scaffolding, feedback, and content; c) maintaining, in the computer storage, a database associating one or more of the nodes with one or more of the learning activities; d) identifying, by a computer, at least one current node on the map for a particular learner based on performance of the learner and using the at least one current node and the data storage to select one or more learning activities for the learner; and e) dynamically varying, by the computer, the scaffolding, feedback, and content of at least one selected learning activity based on performance of the learner, wherein the scaffolding comprises lending support to the learner comprising granting access to resources, modeling a task, giving advice, providing encouragement, coaching, templates, or guides until the learner achieves mastery.
 24. The method of claim 23, comprising providing a plurality of knowledge maps.
 25. The method of claim 23, wherein the database is a prerequisite map associating a plurality of the nodes of the knowledge map with one or more learning activities.
 26. A personalized mastery e-learning platform comprising: a) a server-side learning activity selection application comprising: i) a knowledge map describing a subject or topic at a level of learning, the knowledge map comprising a plurality of nodes, each node representing at least one learning objective, wherein the nodes are arranged in the map hierarchically and so as to represent prerequisite relationships between learning objectives; ii) a plurality of learning activities, each learning activity comprising dynamically variable scaffolding, feedback, and content; iii) a data storage associating one or more of the nodes with one or more of the learning activities; and iv) instructions, which when executed by one or more processors, causes the one or more processors to perform: identifying at least one current node on the map for a particular learner based on performance of the learner and using the at least one current node and the data storage to select one or more selected learning activities for the learner; b) a client-side learning activity modification application comprising instructions, which when executed by one or more processors, causes the one or more processors to perform: dynamically varying the scaffolding, feedback, and content of the one or more selected learning activities based on performance of the learner, wherein the scaffolding comprises lending support to the learner comprising granting access to resources, modeling a task, giving advice, providing encouragement, coaching, templates, or guides until the learner achieves mastery.
 27. The platform of claim 26, wherein the data storage is a prerequisite map associating a plurality of the nodes of the knowledge map with one or more learning activities. 